Hyperbola Mini Flashcard

Front

What is a hyperbola?

Back

A hyperbola is a type of conic section that appears as two separate curves, known as branches, which open away from each other. It is defined as the set of all points where the difference of the distances to two fixed points (foci) is constant.

Front

What is the standard form of a hyperbola's equation?

Back

Front

How do you identify a hyperbola from its general equation?

Back

Front

What is the difference between a hyperbola and an ellipse?

Back

A hyperbola consists of two separate branches that open away from each other, while an ellipse is a closed curve where the sum of the distances from any point on the ellipse to two foci is constant.

Front

What does it mean for a hyperbola to be horizontal or vertical?

Back

Front

What are the foci of a hyperbola?

Back

Front

What is the transverse axis of a hyperbola?

Back

The transverse axis of a hyperbola is the line segment that connects the two vertices of the hyperbola and passes through the foci.

Front

How do you convert the general form of a hyperbola to standard form?

Back

To convert the general form of a hyperbola to standard form, complete the square for both the x and y terms, and then rearrange the equation to isolate the constant on the right side.

Front

What is the relationship between the semi-major axis and semi-minor axis in a hyperbola?

Back

Front

What is the asymptote of a hyperbola?

Back